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Simplification problems


  • 1. What is the value of tan3A?

  • Options
  • A. (3tanA - tan3A)/(1 - 3tan2A)
  • B. (3tanA + tan3A)/(1 + 3tan2A)
  • C. (3tanA - tan3A)/(1 + 3tan2A)
  • D. (3tanA + tan3A)/(1- 3tan2A)
  • Also asked in: Bank Exams

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  • 2. If cot2A - cos2A = x , then value of x is

  • Options
  • A. tan2Asec2A
  • B. cotAcosA
  • C. cot2Acos2A
  • D. tanAsecA
  • Also asked in: Bank Exams

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  • 3. What are the coordinates of the centroid of a triangle, whose vertices are A(2,5), B(4,4) and C(7,3)?

  • Options
  • A. (4,-3)
  • B. (-1,0)
  • C. (-3,-3)
  • D. (3,-2)
  • Also asked in: Bank Exams

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  • 4. If 2x + 5 > 2 + 3x and 2x - 3 ? 4x - 5, then x can take which of the following values?

  • Options
  • A. -2
  • B. 2
  • C. -4
  • D. 4
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  • 5. What is the value of tan150°?

  • Options
  • A. -?3
  • B. 1/?3
  • C. ?3
  • D. -1/?3
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  • 6. If (8x - 4) = (3x + 6), then the numerical value of (x + 1)3 is

  • Options
  • A. 3
  • B. 9
  • C. 27
  • D. 81
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  • 7. If x = at2 and y = 2at then

  • Options
  • A. x2 = 4ay
  • B. y2 = 4ax
  • C. x2 + y 2 = a2
  • D. x 2 - y2 = a 2
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  • 8. If xy+yz+zx = 1, then the value of (1+y2)(x+y)(y+z) ?

  • Options
  • A. 2
  • B. 3
  • C. 4
  • D. 1
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  • 9. The value of tan 315° cot ( -405° ) is equal to

  • Options
  • A. -1
  • B. 1
  • C. 0
  • D. 2
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  • 10. A box weighs 8.5 kg when full of sand and weighs 5.5 kg when it is half filled with sand . Weight of the empty box is

  • Options
  • A. 5 kg
  • B. 6 kg
  • C. 2.5 kg
  • D. 4.5 kg
  • Also asked in: Bank Exams

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